Information on Result #687278
Linear OA(844, 4111, F8, 12) (dual of [4111, 4067, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) based on
- linear OA(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(845, 4112, F8, 12) (dual of [4112, 4067, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(845, 4113, F8, 12) (dual of [4113, 4068, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(844, 2055, F8, 2, 12) (dual of [(2055, 2), 4066, 13]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(844, 1370, F8, 3, 12) (dual of [(1370, 3), 4066, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(844, 685, F8, 12, 12) (dual of [(685, 12), 8176, 13]-NRT-code) | [i] | OA Folding and Stacking | |